Q6 ( Use steam table data attached to perform calculations: Useful info: G =H-TXS; dG = =SdT+VdP; fugacity of a pure substance at constant temperature dG = RTdlnf; T (K) = T(°C) + 273.15 MW water- 18.0 g/mol; 1 J= 1 Pa.m³ (a)) Calculate the Gibbs energy of 1 kg saturated steam at 150°C, relative to superheated steam at 150°C and 50 kPa (the reference state). Express your answer in kJ. using the tabulated enthalpies and entropies. Gsat,V= kJ (b) () The saturated vapor from part (a) is compressed at constant T and 1/2 kg condenses. What is the total Gibbs energy of the vapor liquid mixture relative to the reference state of part (a)? Gmix kJ ) Calculate the fugacity (f) of saturated steam at 150°C. You may assume that f= P at 50 kPa. f = ____ (c) ( kPa
Q6 ( Use steam table data attached to perform calculations: Useful info: G =H-TXS; dG = =SdT+VdP; fugacity of a pure substance at constant temperature dG = RTdlnf; T (K) = T(°C) + 273.15 MW water- 18.0 g/mol; 1 J= 1 Pa.m³ (a)) Calculate the Gibbs energy of 1 kg saturated steam at 150°C, relative to superheated steam at 150°C and 50 kPa (the reference state). Express your answer in kJ. using the tabulated enthalpies and entropies. Gsat,V= kJ (b) () The saturated vapor from part (a) is compressed at constant T and 1/2 kg condenses. What is the total Gibbs energy of the vapor liquid mixture relative to the reference state of part (a)? Gmix kJ ) Calculate the fugacity (f) of saturated steam at 150°C. You may assume that f= P at 50 kPa. f = ____ (c) ( kPa
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Q6
Use steam table data attached to perform calculations: Useful info: G =H-TXS;
dG ==SdT +VdP; fugacity of a pure substance at constant temperature dG = RT dlnf ;
T (K) = T(°C) + 273.15 MWwater- 18.0 g/mol; 1 J= 1 Pa.m³
(a)) Calculate the Gibbs energy of 1 kg saturated steam at 150°C, relative to
superheated steam at 150°C and 50 kPa (the reference state). Express your answer in kJ.
using the tabulated enthalpies and entropies.
Gsat,V=
kJ
(b) () The saturated vapor from part (a) is compressed at constant T and 1/2 kg
condenses. What is the total Gibbs energy of the vapor liquid mixture relative to the
reference state of part (a)?
Gmix-
kJ
(c) (2) Calculate the fugacity (f) of saturated steam at 150°C. You may assume that f= P
at 50 kPa.
f = ___________
kPa
Transcribed Image Text:E.9. Properties of Water¹
I. Saturation Temperature
T
(°C)
0.01
5.
ananananansurnaus
10
15
20
25
30
35
40
45
50
55
60
65
70
75
80
85
90
95
100
105
110
115
120
125
130
135
140
145
150
155
160
100
150
200
250
300
350
400
450
500
550
600
650
P
(MPa)
0.000612
0.000873
0.001228
0.001706
0.002339
0.003170
0.001003
0.004247 0.001004
0.001006
0.001008
0.001010
0.001012
0.001015
9.5643
0.001017
7.6672
0.001020
6.1935
0.001023 5.0395
0.001026
4.1289
0.001029
0.001032
0.001036
0.001040
0.001043
0.005629
700
750
800
850
900
950
1000
0.007385
0.009595
0.012400
0.015800
0.019900
0.025000
0.031200
III. Superheated Steam
P=0.01MPa
(45.8)
0.038600
0.047400
0.057900
0.070200
0.084600
0.101400
0.120900
0.143400
0.169200
0.198700
0.232200
0.270300
0.313200
0.361500
0.415700
0.476200
pl.
m³/kg
0.001000
0.001000
0.001000
0.001001
0.001002
0.001047
0.001052
0.001056
0.001060
0.001065
0.001070
0.001075
0.001080
0.001085
0.001091
0.543500
0.001096
0.618200 0.001102
m³/kg
205.9912
147.0113
106.3032
77,8755
57.7567
43.3373
32.8783
25.2053
19.5151
15.2521
12.0269
3.4052
2.8258
2.3591
1.9806
45.8
T(°C) V(m³/kg) U(kJ/kg) H(kJ/kg) S(kJ/kg-K)
14.6701 2437.2 2583.9 8.1488
14.9139 2443.3 2592.4
50
8.1755
17.1964 2515.5 2687.5 8.4489
19.5132 2587.9 2783.0 8.6892
21.8256 2661.3 2879.6 8.9049
24.1361 2736.1 2977.4 9.1015
26.4456 2812.3 3076.7 9.2827
28.7545 2890.0 3177.5 9.4513
31.0631 2969.3
3279.9 9.6094
3384.0 9.7584
3489.7
33.3714 3050.3
35.6796 3132.9
9.8998
37.9876 3217.2 3597.1
10.0344
40.2956 3303.3 3706.3 10.1631
42.6035 3391.2 3817,2 10,2866
44.9113 3480.8 3929.9 10.4055
47.2191 3572.2 4044.4 10.5202
49.5269 3665.3 4160.6 10.6311
51.8347 3760.3 4278.6 10.7386
54.1424 3856.9 4398.3 10.8429
56.4501 3955.2 4519.7 10.9442
58.7578 4055.2 4642.8 11.0428
1.6718
1.4184
1.2093
1.0358
0.8912
0.7700
0.6680
0.5817
0.5085
0.4460
0.3925
0.3465
0.3068
UL
kJ/kg
0.00
21.02
42.02
62.98
83.91
104.83
125.73
146.63
167.53
188.43
209.33
230.24
251.16
272.09
293.03
313.99
334.96
355.95
376.97
398.00
419.06
440.15
461.26
482,41
503.60
524.83
546.09
567.41
588.77
610.19
631.66
653.19
674.79
AUap
kJ/kg
2374.92
2360.76
2346.63
2332.51
2318.41
2304.30
2290.18
2247.65
2233.40
2219.10
2204.74
2190.32
2175.83
2161.25
2146.60
2131.86
2117.00
2102.04
2086.96
2071.75
2056.41
2040,92
42.02
62.98
83.91
104.83
125.73
2276.04 2422.67 146.63
2261.86 2429.39
167.53
2025.26
2009.44
1993.44
kJ/kg
1977.24
1960.85
1944.23
1927.39
1910.32
1892.99
2374.92
2381.78
2388.65
2395.49
2402.32
2409.13
2415.91
2436.08
2442.73
2449.34
2455.90
2462.41
2468.86
2475.24
2481.56
2487.81
2493.97
2500.04
2506.02
H²
kJ/kg
2511.90
2517.67
2523.33
0.00
21.02
2544.65
2549.62
2554.42
335.01
356.01
377.04
398.09
419.17
440.27
461.42
482.59
2528.86 503.81
2534.27
525.07
2539.53 546.38
567.74
188.43
209.34
230.26
251.18
272.12
293.07
314.03
589.16
610.64
632.18
2559.05
2563.51
653.79
2567.78 675.47
AHup
kJ/kg
2500.92
2489.04
2477.19
2465.35
2453.52
2441.68
2429.82
2417.92
2405.98
2394.00
2381.95
2369.83
2357.65
2345.38
100 3.4187 2511.5 2682.4 7.6953
150 3.8897 2585.7 2780.2 7.9413
200 4.3562 2660.0
2877.8 8.1592
250 4.8206 2735.1 2976.1 8.3568
300 5.2840 2811.6 3075.8 8.5386
350
5.7469
2889.4 3176.8 8.7076
400 6.2094 2968.9 3279.3 8.8659
450 6.6717 3049.9 3383.5 9.0151
500 7.1338 3132.6 3489.3 9.1566
550 7.5957 3217.0 3596.8 9.2913
600 8.0576 3303.1 3706.0 9.4201
650 8.5195 3391.0 3816.9 9.5436
700 8.9812 3480.6 3929.7 9.6625
750 9.4430 3572.0 4044.2 9.7773
800 9.9047 3665.2 4160.4 9.8882
850 10.3663 3760.1 4278.5 9.9957
900 10.8280 3856.8 4398.2 10.1000
950 11.2896 3955.1 4519.6 10.2014
1000 11.7513 4055.1 4642.7 10.3000
2295.32
2282.49
2269.52
2256.40
2243.12
2229.64
2215.99
2202.12
2188.03
2173.70
2159.13
2144.28
2129.16
2113.75
2098.02
2081.97
P=0.05MPa (81.3)
T(°C) V(m³/kg) U(kJ/kg) H(kJ/kg) S(kJ/kg-K)
81.3 3.2400 2483.2 2645.2 7.5930
H
kJ/kg
2617.50
2333.03 2626.10
2320.57
2308.01
2500.92
2510.06
2519.21
2528.33
2537.43
2546.51
2555.55
2564.55
2573.51
2582.43
2591.29
2600.09
2608.83
2634.60
2643.02
2651.33
2659.53
2667.61
2675.57
2683.39
2691.06
2698.58
2705.93
St.
Asap
kJ/kg-K kJ/kg-K
0.0000
0.0763
0.1511
0.2245
0.2965
0.3672
0.4368
0.5051
0.5724
0.6386
0.7038
0.7680
0.8313
0.8937
0.9551
1.0158
1.0756
1.1346
1.1929
1.2504
1.3072
1.3633
1.4188
1.4737
1.5279
1.5816
2713.10
2720.08
1.6346
2726.87 1.6872
2733.44
1.7392
2739.80
1.7907
2745.93
1.8418
2751.81
1.8924
2757.44 1.9426
9.1555
8.9485
8.7487
8.5558
8.3695
8.1894
8.0152
7.8466
7.6831
7.5247
7.3710
7.2218
7.0768
6.9359
6.7989
6.6654
6.5355
6.4088
6.2852
6.1647
6.0469
5.9319
5.8193
5.7091
5.6012
5.4954
5.3918
5.2900
5.1901
5.0919
4.9953
4.9002
4.8065
kJ/kg-K
100 1.6959 2506.2 2675.8
150 1.9367 2582.9 2776.6
200 2.1724 2658.2 2875.5
250 2.4062 2733.9 2974.5
300 2.6388 2810.6 3074.5
350 2.8710 2888.7 3175.8
400 3.1027
2968.3 3278.6
450 3.3342 3049.4 3382.8
500 3.5655 3132.2 3488.7
550 3.7968 3216.6 3596.3
600 4.0279 3302.8 3705.6
650 4.2590
3390.7 3816.6
700 4.4900 3480.4 3929.4
750 4.7209 3571.8 4043.9
800
850
900
950 5.6446 3955.0 4519.5
1000 5.8754 4055.0
4.9519 3665.0
4160.2
5.1828 3760.0
4278.2
5.4137 3856.6 4398.0
4642.6
9.1555
9.0248
8.8998
8.7803
8.6660
8.5566
8.4520
8.3517
8.2555
8.1633
8.0748
7.9898
7.9081
7.8296
7.7540
7.6812
7.6111
7.5434
7.4781
7.4151
7.3541
7.2952
7.2381
7.1828
7.1291
7.0770
7.0264
6.9772
6.9293
6.8826
6.8371
6.7926
6.7491
P=0.10MPa (99.6)
T(°C) V(m³/kg) U(kJ/kg) H(kJ/kg) S(kJ/kg-K)
1.6939 2505.6 2675.0
99.6
7.3588
7.3610
7.6148
7.8356
8.0346
8.2172
8.3866
8.5452
8.6946
8.8361
8.9709
9.0998
9.2234
9.3424
9.4572
9.5681
9.6757
9.7800
9.8813
9.9800
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